Molecular formula does not include bonds or chirality either
It is ambiguous in some ways, some of which could be easily fixed (should be plenty of ways of adding bond strength)
Pretty much all chemical notation is ambiguous is one way or another. Even full standard notation, no matter how hard it tries, can be ambiguous (even though it attempts to conserve stereo-chemistry, if the molecule is big enough information can be lost and impossible to represent all at once)
3D information is impossible to be fully represented in 2D no matter how hard you try